Periodically revived elliptical cos-Gaussian solitons and breathers in nonlocal nonlinear Schrödinger equation
In this paper, we investigate the evolution characteristics of periodically revived elliptical cos-Gaussian solitons and breathers based on nonlocal nonlinear Schrödinger equation, which can be applied into describing the beam evolution in nonlocal nonlinear media. The elliptical cos-Gaussian solito...
| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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Elsevier
2021-04-01
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| Series: | Results in Physics |
| Subjects: | |
| Online Access: | http://www.sciencedirect.com/science/article/pii/S2211379721002175 |
| _version_ | 1818652811576999936 |
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| author | Zhi-Ping Dai Qiao Zeng Shuang Shen Zhen-Jun Yang |
| author_facet | Zhi-Ping Dai Qiao Zeng Shuang Shen Zhen-Jun Yang |
| author_sort | Zhi-Ping Dai |
| collection | DOAJ |
| description | In this paper, we investigate the evolution characteristics of periodically revived elliptical cos-Gaussian solitons and breathers based on nonlocal nonlinear Schrödinger equation, which can be applied into describing the beam evolution in nonlocal nonlinear media. The elliptical cos-Gaussian solitons can present a variety of intensity distribution modes. With different incident energies, the statistical spot size can remain unchanged during the process of evolution, namely the soliton state; otherwise, the statistical spot size changes periodically, namely the breathing state. The transverse intensity mode always changes periodically which is similar to the higher-order temporal solitons. That is, they can be revived to the original mode at the end of each evolution period. Mathematical expressions are derived to describe the soliton propagation, the intensity pattern, the statistical spot size and the axial intensity etc. Various evolution characteristics are discussed in details and illustrated by numerical simulations. |
| first_indexed | 2024-12-17T02:27:56Z |
| format | Article |
| id | doaj.art-dd52491051384831acff24d38827e743 |
| institution | Directory Open Access Journal |
| issn | 2211-3797 |
| language | English |
| last_indexed | 2024-12-17T02:27:56Z |
| publishDate | 2021-04-01 |
| publisher | Elsevier |
| record_format | Article |
| series | Results in Physics |
| spelling | doaj.art-dd52491051384831acff24d38827e7432022-12-21T22:07:03ZengElsevierResults in Physics2211-37972021-04-0123104055Periodically revived elliptical cos-Gaussian solitons and breathers in nonlocal nonlinear Schrödinger equationZhi-Ping Dai0Qiao Zeng1Shuang Shen2Zhen-Jun Yang3College of Physics and Electronic Engineering, Hengyang Normal University, Hengyang 421002, ChinaCollege of Physics and Electronic Engineering, Hengyang Normal University, Hengyang 421002, ChinaCollege of Physics, Hebei Key Laboratory of Photophysics Research and Application, Hebei Normal University, Shijiazhuang 050024, ChinaCollege of Physics, Hebei Key Laboratory of Photophysics Research and Application, Hebei Normal University, Shijiazhuang 050024, China; Corresponding author.In this paper, we investigate the evolution characteristics of periodically revived elliptical cos-Gaussian solitons and breathers based on nonlocal nonlinear Schrödinger equation, which can be applied into describing the beam evolution in nonlocal nonlinear media. The elliptical cos-Gaussian solitons can present a variety of intensity distribution modes. With different incident energies, the statistical spot size can remain unchanged during the process of evolution, namely the soliton state; otherwise, the statistical spot size changes periodically, namely the breathing state. The transverse intensity mode always changes periodically which is similar to the higher-order temporal solitons. That is, they can be revived to the original mode at the end of each evolution period. Mathematical expressions are derived to describe the soliton propagation, the intensity pattern, the statistical spot size and the axial intensity etc. Various evolution characteristics are discussed in details and illustrated by numerical simulations.http://www.sciencedirect.com/science/article/pii/S2211379721002175Nonlinear Schrödinger equationNonlinear propagationSolitonBreather |
| spellingShingle | Zhi-Ping Dai Qiao Zeng Shuang Shen Zhen-Jun Yang Periodically revived elliptical cos-Gaussian solitons and breathers in nonlocal nonlinear Schrödinger equation Results in Physics Nonlinear Schrödinger equation Nonlinear propagation Soliton Breather |
| title | Periodically revived elliptical cos-Gaussian solitons and breathers in nonlocal nonlinear Schrödinger equation |
| title_full | Periodically revived elliptical cos-Gaussian solitons and breathers in nonlocal nonlinear Schrödinger equation |
| title_fullStr | Periodically revived elliptical cos-Gaussian solitons and breathers in nonlocal nonlinear Schrödinger equation |
| title_full_unstemmed | Periodically revived elliptical cos-Gaussian solitons and breathers in nonlocal nonlinear Schrödinger equation |
| title_short | Periodically revived elliptical cos-Gaussian solitons and breathers in nonlocal nonlinear Schrödinger equation |
| title_sort | periodically revived elliptical cos gaussian solitons and breathers in nonlocal nonlinear schrodinger equation |
| topic | Nonlinear Schrödinger equation Nonlinear propagation Soliton Breather |
| url | http://www.sciencedirect.com/science/article/pii/S2211379721002175 |
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